Curves of genus 3 over small finite fields

DOI10.1016/S0019-3577(03)90011-5zbMath1049.11064arXivmath/0301264MaRDI QIDQ1433052

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Publication date: 15 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301264

zbMATH Keywords

finite fieldcurves with many rational points

Mathematics Subject Classification ID

Curves over finite and local fields (11G20)

Related Items (8)

Courbes de genre \boldmath3 avec \boldmath𝑆₃ comme groupe d’automorphismes ⋮ On the Dickson-Guralnick-Zieve curve ⋮ Around Sziklai's conjecture on the number of points of a plane curve over a finite field ⋮ A QUOTIENT CURVE OF THE FERMAT CURVE OF DEGREE TWELVE ATTAINING THE SERRE BOUND ⋮ A quotient curve of the Fermat curve of degree twenty-three attaining the Serre bound ⋮ Open problems in finite projective spaces ⋮ Maximal hyperelliptic curves of genus three ⋮ On multi-Frobenius non-classical plane curves

Uses Software

• manYPoints

Cites Work

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• Legendre elliptic curves over finite fields
• On positive definite Hermitian forms
• Frobenius non classical curves
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• Weierstrass Points and Curves Over Finite Fields
• Tables of curves with many points
• Large torsion subgroups of split Jacobians of curves of genus two or three
• Abelian varieties over finite fields

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